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Finding the Third Proportional to 3,540 and 8,232

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Solution

The third proportional to 3,540 and 8,232 is: 19,142.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,540 : 8,232 = 8,232 : x
  2. Step 2: Convert to fraction form
    3,540/8,232 = 8,232/x
  3. Step 3: Cross multiply
    3,540x = 8,232 × 8,232
  4. Step 4: Simplify right side
    3,540x = 67,765,824
  5. Step 5: Solve for x
    x = 67,765,824/3,540
  6. Step 6: Final answer
    x = 19,142.89

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.